Explore topic-wise MCQs in Soil Mechanics.

This section includes 15 Mcqs, each offering curated multiple-choice questions to sharpen your Soil Mechanics knowledge and support exam preparation. Choose a topic below to get started.

1.

The greatest value of maximum shear stress τmax occurs when angle θ is _________

A. π
B. π/2
C. π/3
D. π/4
Answer» C. π/3
Discussion
2.

The maximum shear stress is the difference between major and minor principal stresses.

A. True
B. False
Answer» C.
Discussion
3.

Trapezoidal load is encountered in earth fills.

A. True
B. False
Answer» B. False
Discussion
4.

For a load intensity of q=20kN/m, find the vertical stress σz from the given diagram.

A. 5.62 kN/m2
B. 6.23 kN/m2
C. 13.33 kN/m2
D. 8.32 kN/m2
Answer» D. 8.32 kN/m2
Discussion
5.

For a triangular and uniformly distributed semi-infinite loads, the vertical stress σz is given by ___________

A. \(σ_z=\frac{q}{aπ}[xα+z] \)
B. \(σ_z=\frac{q}{aπ}(aβ+xα) \)
C. \(σ_z=\frac{q}{π} \left[\frac{az}{a^2+z^2}\right]\)
D. \(σ_z=[xα-\frac{az}{(x-α)^2+z^2}(x-α)]\)
Answer» C. \(σ_z=\frac{q}{π} \left[\frac{az}{a^2+z^2}\right]\)
Discussion
6.

For a load intensity of q=20kN/m, find the shear stress τxz at a depth 5m from the given diagram.

A. -5.2 kN/m2
B. -6.2 kN/m2
C. -7.2 kN/m2
D. -8.2 kN/m2
Answer» C. -7.2 kN/m2
Discussion
7.

For a triangular and uniformly distributed semi-infinite loads, the shear stress τxz in the plane xz is ___________

A. \(τ_{xz}=-\frac{qz}{aπ} α \)
B. \(τ_{xz}=-\frac{q}{π} α\)
C. \(τ_{xz}=-\frac{q}{π} \left[\frac{az}{a^2+z^2}\right]\)
D. \(τ_{xz}=-\frac{q}{π} z\)
Answer» B. \(τ_{xz}=-\frac{q}{π} α\)
Discussion
8.

For a symmetrically distributed triangular load, the shear stress τxz at any point at a depth z is given by ___________

A. \(τ_{xz}=-\frac{qz}{aπ} \left[α_1-α_2 \right] \)
B. \(τ_{xz}=-\frac{q}{π} \left[α_1+α_2 \right]\)
C. \(τ_{xz}=-\frac{q}{π} \left[\frac{az}{a^2+z^2}\right]\)
D. \(τ_{xz}=-\frac{q}{π} \left[α_1-α_2 \right] \)
Answer» B. \(τ_{xz}=-\frac{q}{π} \left[α_1+α_2 \right]\)
Discussion
9.

For a symmetrically distributed triangular load, under the centre of the triangular load, the vertical stress at any point at a depth z is given by ___________

A. \(σ_z=\frac{q}{aπ} \left[α_1+α_2 \right] \)
B. \(σ_z=\frac{q}{π} \left[α_1+α_2 \right]\)
C. \(σ_z=\frac{q}{π} \left[\frac{az}{a^2+z^2}\right]\)
D. \(σ_z=\frac{q}{π} \left[α_1-α_2 \right]\)
Answer» C. \(σ_z=\frac{q}{π} \left[\frac{az}{a^2+z^2}\right]\)
Discussion
10.

For a linearly variable infinite load, for a point P, the vertical stress σz is _________

A. \(σ_z=\frac{q}{aπ} \left[xα+z\right] \)
B. \(σ_z=\frac{q}{aπ} \)
C. \(σ_z=\frac{q}{π}\left[\frac{az}{a^2+z^2}\right] \)
D. \(σ_z=\left[xα-\frac{az}{(x-α)^2+z^2}(x-α)\right] \)
Answer» B. \(σ_z=\frac{q}{aπ} \)
Discussion
11.

For point P under the support B, the vertical stress is given by __________

A. \(σ_z=\frac{q}{aπ} [xα(x-α)] \)
B. \(σ_z=\frac{q}{π}α_B \)
C. \(σ_z=\frac{q}{π} \left[\frac{az}{a^2+z^2}\right] \)
D. \(σ_z=\left[xα_B-\frac{az}{(x-α_B )^2+z^2}(x-α_B)\right] \)
Answer» C. \(σ_z=\frac{q}{π} \left[\frac{az}{a^2+z^2}\right] \)
Discussion
12.

For point P under the support A, the vertical stress is given by __________

A. \(σ_z=\frac{q}{aπ} [xα(x-α)] \)
B. \(σ_z=\frac{q}{aπ} \)
C. \(σ_z=\frac{q}{π} \left[\frac{az}{a^2+z^2}\right] \)
D. \(σ_z=\left[xα-\frac{az}{(x-α)^2+z^2}(x-α)\right] \)
Answer» D. \(σ_z=\left[xα-\frac{az}{(x-α)^2+z^2}(x-α)\right] \)
Discussion
13.

For any position of point P subtending angle α with AB, the vertical stress is given by___________

A. \(σ_z=\frac{q}{aπ} [xα(x-α)] \)
B. \(σ_z=\frac{q}{aπ} \)
C. \(σ_z=\frac{q}{aπ}\left[xα-\frac{az}{(x-α)^2+z^2}(x-α)\right] \)
D. \(σ_z= \left[xα-\frac{az}{(x-α)^2+z^2}(x-α)\right] \)
Answer» D. \(σ_z= \left[xα-\frac{az}{(x-α)^2+z^2}(x-α)\right] \)
Discussion
14.

The triangular load is also known as ___________

A. uniformly distributed load
B. uniformly varying load
C. point load
D. equivalent uniformly distributed load
Answer» C. point load
Discussion
15.

The uniformly varying load is __________ in a beam.

A. rate of loading increases linearly from zero
B. rate of loading increases non-linearly from zero
C. equal load at every point
D. equal load only at supports
Answer» B. rate of loading increases non-linearly from zero
Discussion